An improvement of our previous extended mean-field theory of the liqui
d-vapour interface of water is described. This revision extends the ra
nge of validity of the theory to room temperature. The current theory
is improved in three aspects: (1) the effective angle-averaged pair po
tential is obtained by the RAM (reference-averaged Mayer) function app
roximation, avoiding expansion in inverse powers of temperature; (2) d
ie soft repulsive core of the TIP4P water model pair potential is trea
ted accurately; and (3) the anisotropic interactions are represented b
y a higher-order (l = 5) multipole expansion. The current theory inclu
des no adjustable parameters; the critical temperature T(c) is found t
o be 609 K. Detailed calculations are given for room temperature, wher
e molecular-dynamics simulation results are available for comparison.
A more detailed representation of the orientational distribution funct
ion is reported.